A MESHLESS DEFORMATION SIMULATION METHOD FOR VIRTUAL SURGERY

Jianyong Zhou, Xiaoping Liu, and Chunquan Li

Keywords

Soft tissue, strain, stress, PDE, MLRPIM, numerical test

Abstract

An accurate and computation-eﬀective model of soft tissues is very
important for surgery simulation. When soft tissues are interacted by
a surgical instrument, their external deformation and internal stress
and strain distribution are closely related. These stress and strain
data can not only be used to describe the soft tissue deformation
but also can be used to calculate interaction force rendered to the
force feedback device, making the user to have a realistic sense of
touch during the surgical procedure. It is diﬃcult, however, to
solve partial diﬀerential equations (PDE) in conventional soft tissue
models, and stress and strain data cannot be easily extracted. This
paper presents a meshless local radial point interpolation method for
soft tissue modelling and demonstrates its feasibility by numerical
tests.